Finite Mathematics and Applied Calculus

✍ Scribed by Stefan Waner, Steven Costenoble

• Publisher: Cengage Learning
• Year: 2023
• Tongue: English
• Leaves: 1330
• Edition: 8
• Category: Library

✦ Synopsis

Show students the relevance of mathematics in their own lives as they master important concepts and skills in Waner/Costenoble’s FINITE MATHEMATICS AND APPLIED CALCULUS, 8th Edition. Updated, numerous examples and applications engage students with real data from well-known businesses, economic, social and current life events -- from cryptocurrency to COVID. Streamlined content assists in comprehension while valuable print and digital resources work seamlessly for your in-person, online or hybrid course format. Spreadsheet and TI graphing calculator instruction appears where needed throughout the text. Optional end-of-chapter Technology Notes and Technology Guides are available to include the precise amount of technology instruction you prefer. WebAssign course management resources and an acclaimed author website further engage students in interactive learning. Noted for both readability and accuracy, this edition is ideal for all types of teaching and learning styles and support.

✦ Table of Contents

Cover
Brief Contents
Contents
About the Authors
Preface
Acknowledgments
Chapter 0: Precalculus Review
Introduction
0.1 Real Numbers
0.2 Exponents and Radicals
0.3 Using Exponent Identities
0.4 Multiplying and Factoring Algebraic Expressions
0.5 Rational Expressions
0.6 Solving Polynomial Equations
0.7 Solving Miscellaneous Equations
0.8 The Coordinate Plane
0.9 Logarithms
Chapter 1: Functions and Applications
Introduction
1.1 Functions from the Numerical, Algebraic, and Graphical Viewpoints
1.2 Functions and Models
1.3 Linear Functions and Models
1.4 Linear Regression
Key Topics
Review Exercises
Case Study: Modeling YouTube Viewership
Technology Guide
Chapter 2: Nonlinear Functions and Models
Introduction
2.1 Quadratic Functions and Models
2.2 Exponential Functions and Models
2.3 The Number e and Exponential Growth and Decay
2.4 Logistic and Logarithmic Functions and Models
Key Topics
Review Exercises
Case Study: Projecting Market Growth
Technology Guide
Chapter 3: Mathematics of Finance
Introduction
3.1 Simple Interest
3.2 Compound Interest
3.3 Annuities, Loans, and Bonds
Key Topics
Review Exercises
Case Study: Adjustable Rate and Subprime Mortgages
Technology Guide
Chapter 4: Systems of Linear Equations and Matrices
Introduction
4.1 Systems of Two Linear Equations in Two Unknowns
4.2 Using Matrices to Solve Systems of Equations
4.3 Applications of Systems of Linear Equations
Key Topics
Review Exercises
Case Study: Hybrid Cars: Optimizing the Degree of Hybridization
Technology Guide
Chapter 5: Matrix Algebra
Introduction
5.1 Matrix Addition and Scalar Multiplication
5.2 Matrix Multiplication
5.3 Matrix Inversion
5.4 Game Theory
5.5 Input-Output Models
Key Topics
Review Exercises
Case Study: Social Network Analysis
Technology Guide
Chapter 6: Linear Programming
Introduction
6.1 Graphing Linear Inequalities
6.2 Solving Linear Programming Problems Graphically
6.3 The Simplex Method: Solving Standard Maximization Problems
6.4 The Simplex Method: Solving General Linear Programming Problems
6.5 The Simplex Method and Duality
Key Topics
Review Exercises
Case Study: The Diet Problem
Technology Guide
Chapter 7: Sets and Counting
Introduction
7.1 Set Operations
7.2 Cardinality
7.3 Decision Algorithms: The Addition and Multiplication Principles
7.4 Permutations and Combinations
Key Topics
Review Exercises
Case Study: Designing a Puzzle
Chapter 8: Probability
Introduction
8.1 Sample Spaces and Events
8.2 Relative Frequency
8.3 Probability and Probability Models
8.4 Probability and Counting Techniques
8.5 Conditional Probability and Independence
8.6 Bayes' Theorem and Applications
8.7 Markov Systems
Key Topics
Review Exercises
Case Study: The Monty Hall Problem
Technology Guide
Chapter 9: Random Variables and Statistics
Introduction
9.1 Random Variables and Distributions
9.2 Bernoulli Trials and Binomial Random Variables
9.3 Measures of Central Tendency
9.4 Measures of Dispersion
9.5 Normal Distributions
Key Topics
Review Exercises
Case Study: Spotting Tax Fraud with Benford's Law
Technology Guide
Chapter 10: Introduction to the Derivative
Introduction
10.1 Limits: Numerical and Graphical Viewpoints
10.2 Limits: Algebraic Viewpoint
10.3 Limits and Continuity
10.4 Average Rate of Change
10.5 The Derivative: Numerical and Graphical Viewpoints
10.6 The Derivative: Algebraic Viewpoint
Key Topics
Review Exercises
Case Study: Reducing Sulfur Emissions
Technology Guide
Chapter 11: Techniques of Differentiation
Introduction
11.1 Derivatives of Powers, Sums, and Constant Multiples
11.2 A First Application: Marginal Analysis
11.3 The Product and Quotient Rules
11.4 The Chain Rule
11.5 Derivatives of Logarithmic and Exponential Functions
11.6 Implicit Differentiation
KeyTopics
Review Exercises
Case Study: Tracking the COVID-19 Epidemic in the U.S
Chapter 12: Further Applications of the Derivative
Introduction
12.1 Maxima and Minima
12.2 Applications of Maxima and Minima
12.3 Higher Order Derivatives: Acceleration and Concavity
12.4 Analyzing Graphs
12.5 Differentials, Linear Approximation, and Error Estimation
12.6 Related Rates
12.7 Elasticity
Key Topics
Review Exercises
Case Study: Production Lot Size Management
Technology Guide
Chapter 13: The Integral
Introduction
13.1 The Indefinite Integral
13.2 Substitution
13.3 The Definite Integral
13.4 The Fundamental Theorem of Calculus
Key Topics
Review Exercises
Case Study: Spending on Housing Construction
Technology Guide
Chapter 14: Further Integration Techniques and Applications of the Integral
Introduction
14.1 Integration by Parts
14.2 Area between Two Curves
14.3 Averages and Moving Averages
14.4 Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams
14.5 Improper Integrals and Applications
14.6 Differential Equations and Applications
Key Topics
Review Exercises
Case Study: Estimating Tax Revenues
Technology Guide
Chapter 15: Functions of Several Variables
Introduction
15.1 Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints
15.2 Partial Derivatives
15.3 Maxima and Minima
15.4 Constrained Maxima and Minima and Applications
15.5 Double Integrals and Applications
Key Topics
Review Exercises
Case Study: Modeling College Population
Technology Guide
Chapter 16: Trigonometric Models
Introduction
16.1 Trigonometric Functions, Models, and Regression
16.2 Derivatives of Trigonometric Functions and Applications
16.3 Integrals of Trigonometric Functions and Applications
Key Topics
Review Exercises
Case Study: Predicting Airline Empty Seat Volume
Technology Guide
Appendix A: Logic
Appendix B: Area under a Normal Curve
Answers to Selected Exercises
Index
Index of Applications
Index of Companies and Agencies

✦ Subjects

Functions; Linear Equations; Matrix Algebra; Linear Programming; Sets; Counting; Probability; Calculus; Trigonometry